Mundici, Daniele Yosida frames in free abelian \(\ell \)-groups. (English) Zbl 07739998 J. Algebra 635, 689-697 (2023). MSC: 06D35 06D22 06F20 20F60 PDF BibTeX XML Cite \textit{D. Mundici}, J. Algebra 635, 689--697 (2023; Zbl 07739998) Full Text: DOI
Meng, Qing On nuclearity of semigroup crossed products. (English) Zbl 07688263 Bull. Korean Math. Soc. 60, No. 2, 529-539 (2023). MSC: 46L35 46L55 06F15 PDF BibTeX XML Cite \textit{Q. Meng}, Bull. Korean Math. Soc. 60, No. 2, 529--539 (2023; Zbl 07688263) Full Text: DOI
Darnel, Michael R. Quasi-Engel varieties of lattice-ordered groups. (English) Zbl 07673629 Algebra Univers. 84, No. 2, Paper No. 14, 30 p. (2023). MSC: 06F15 20F19 20F45 20F60 PDF BibTeX XML Cite \textit{M. R. Darnel}, Algebra Univers. 84, No. 2, Paper No. 14, 30 p. (2023; Zbl 07673629) Full Text: DOI
Carrera, Ricardo E.; Hager, Anthony W. Some modifications of hull operators in Archimedean lattice-ordered groups with weak unit. (English) Zbl 07664066 Appl. Categ. Struct. 31, No. 2, Paper No. 12, 17 p. (2023). MSC: 06F20 06D99 06B25 06F05 06B23 20M99 54C30 54E05 08A35 08A40 PDF BibTeX XML Cite \textit{R. E. Carrera} and \textit{A. W. Hager}, Appl. Categ. Struct. 31, No. 2, Paper No. 12, 17 p. (2023; Zbl 07664066) Full Text: DOI
Metcalfe, George; Reggio, Luca Model completions for universal classes of algebras: necessary and sufficient conditions. (English) Zbl 1516.03011 J. Symb. Log. 88, No. 1, 381-417 (2023). Reviewer: Rosario Mennuni (Pisa) MSC: 03C10 03C05 03C40 03C64 03B47 06D35 06F20 PDF BibTeX XML Cite \textit{G. Metcalfe} and \textit{L. Reggio}, J. Symb. Log. 88, No. 1, 381--417 (2023; Zbl 1516.03011) Full Text: DOI arXiv
Campercholi, Miguel; Castaño, Diego Nicolás; Díaz Varela, José Patricio; Gispert, Joan Algebraic expansions of logics. (English) Zbl 07657275 J. Symb. Log. 88, No. 1, 74-92 (2023). MSC: 03G27 06D35 06F20 PDF BibTeX XML Cite \textit{M. Campercholi} et al., J. Symb. Log. 88, No. 1, 74--92 (2023; Zbl 07657275) Full Text: DOI
Scowcroft, Philip Adjunction of a strong unit to a hyper-Archimedean lattice-ordered group. (English) Zbl 07653686 Algebra Univers. 84, No. 1, Paper No. 8, 36 p. (2023). MSC: 06F20 03C80 PDF BibTeX XML Cite \textit{P. Scowcroft}, Algebra Univers. 84, No. 1, Paper No. 8, 36 p. (2023; Zbl 07653686) Full Text: DOI
Jordan, Francis Connected topological lattice-ordered groups. (English) Zbl 07642664 Algebra Univers. 84, No. 1, Paper No. 4, 11 p. (2023). MSC: 06F15 54H11 54H12 06F30 54C35 03E75 PDF BibTeX XML Cite \textit{F. Jordan}, Algebra Univers. 84, No. 1, Paper No. 4, 11 p. (2023; Zbl 07642664) Full Text: DOI
Scowcroft, Philip \(C(\beta\mathbb{N}\setminus\mathbb{N})\) among the Archimedean \(\ell\)-groups with strong unit. (English) Zbl 07688091 Diss. Math. 582, 1-59 (2022). MSC: 03C60 03C25 06F20 PDF BibTeX XML Cite \textit{P. Scowcroft}, Diss. Math. 582, 1--59 (2022; Zbl 07688091) Full Text: DOI
Pourgholamhossein, M.; Ranjbar, M. A. Positive filters and links in an \(\ell\)-group. (English) Zbl 07600460 Quaest. Math. 45, No. 8, 1297-1308 (2022). MSC: 06-XX 06F20 46Axx 54H11 46A40 47H07 46B40 PDF BibTeX XML Cite \textit{M. Pourgholamhossein} and \textit{M. A. Ranjbar}, Quaest. Math. 45, No. 8, 1297--1308 (2022; Zbl 07600460) Full Text: DOI
Hager, Anthony W.; Wynne, Brian Minimum proper extensions in some lattices of subalgebras. (English) Zbl 07556319 Algebra Univers. 83, No. 3, Paper No. 30, 21 p. (2022). MSC: 06F20 08A30 20E15 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{B. Wynne}, Algebra Univers. 83, No. 3, Paper No. 30, 21 p. (2022; Zbl 07556319) Full Text: DOI
Ahmed, Mamoon The ideal structure of \(C^\ast\)-algebras related to lattice-ordered groups. (English) Zbl 1512.22005 Ann. Funct. Anal. 13, No. 3, Paper No. 44, 14 p. (2022). Reviewer: Takahiro Sudo (Nishihara) MSC: 22D25 22D35 22B05 20M14 20M30 46L05 46L08 46L55 PDF BibTeX XML Cite \textit{M. Ahmed}, Ann. Funct. Anal. 13, No. 3, Paper No. 44, 14 p. (2022; Zbl 1512.22005) Full Text: DOI
Colacito, Almudena; Tsinakis, Constantine Nilpotency and the Hamiltonian property for cancellative residuated lattices. (English) Zbl 07538383 Int. J. Algebra Comput. 32, No. 4, 629-652 (2022). MSC: 06F05 06D35 06F15 03B47 08B20 PDF BibTeX XML Cite \textit{A. Colacito} and \textit{C. Tsinakis}, Int. J. Algebra Comput. 32, No. 4, 629--652 (2022; Zbl 07538383) Full Text: DOI arXiv
Colacito, Almudena; Galatos, Nikolaos; Metcalfe, George; Santschi, Simon From distributive \(\ell\)-monoids to \(\ell\)-groups, and back again. (English) Zbl 07503710 J. Algebra 601, 129-148 (2022). MSC: 06F15 06F05 PDF BibTeX XML Cite \textit{A. Colacito} et al., J. Algebra 601, 129--148 (2022; Zbl 07503710) Full Text: DOI arXiv
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano; Giuntini, Roberto Expanding lattice ordered abelian groups to Riesz spaces. (English) Zbl 07478468 Math. Slovaca 72, No. 1, 1-10 (2022). MSC: 06D35 06F20 06F25 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Math. Slovaca 72, No. 1, 1--10 (2022; Zbl 07478468) Full Text: DOI
Kehayopulu, Niovi On ordered \(\Gamma\)-hypersemigroups and their relation to lattice ordered semigroups. (English) Zbl 07577619 Turk. J. Math. 45, No. 3, 1120-1132 (2021). MSC: 06F99 06F05 20N99 PDF BibTeX XML Cite \textit{N. Kehayopulu}, Turk. J. Math. 45, No. 3, 1120--1132 (2021; Zbl 07577619) Full Text: DOI
Ploščica, Miroslav Cevian properties in ideal lattices of abelian \(\ell\)-groups. (English) Zbl 1508.06012 Forum Math. 33, No. 6, 1651-1658 (2021). MSC: 06F20 06D05 06B10 08A30 PDF BibTeX XML Cite \textit{M. Ploščica}, Forum Math. 33, No. 6, 1651--1658 (2021; Zbl 1508.06012) Full Text: DOI
Hager, Anthony W.; Scowcroft, Philip Adjoining a strong unit to an Archimedean lattice-ordered group. (English) Zbl 1515.06027 Order 38, No. 3, 455-472 (2021). MSC: 06F20 03E17 54C40 54D45 54H10 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{P. Scowcroft}, Order 38, No. 3, 455--472 (2021; Zbl 1515.06027) Full Text: DOI
Wehrung, Friedrich From noncommutative diagrams to anti-elementary classes. (English) Zbl 1474.18004 J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021). Reviewer: Michel Hébert (Al-Qāhira) MSC: 18A30 03C52 03C75 18A35 03E05 06A07 06A12 06C20 06D22 06D35 06F20 08C05 08A30 16E20 16E50 PDF BibTeX XML Cite \textit{F. Wehrung}, J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021; Zbl 1474.18004) Full Text: DOI arXiv
Shavgulidze, N. E. Some properties of lattice ordered rings. (English. Russian original) Zbl 07384993 Math. Notes 110, No. 2, 297-300 (2021); translation from Mat. Zametki 110, No. 2, 313-316 (2021). MSC: 06Fxx 06-XX 20Kxx PDF BibTeX XML Cite \textit{N. E. Shavgulidze}, Math. Notes 110, No. 2, 297--300 (2021; Zbl 07384993); translation from Mat. Zametki 110, No. 2, 313--316 (2021) Full Text: DOI
Abbadini, Marco Equivalence à la Mundici for commutative lattice-ordered monoids. (English) Zbl 07382709 Algebra Univers. 82, No. 3, Paper No. 45, 42 p. (2021). MSC: 06F05 54F05 03C05 PDF BibTeX XML Cite \textit{M. Abbadini}, Algebra Univers. 82, No. 3, Paper No. 45, 42 p. (2021; Zbl 07382709) Full Text: DOI arXiv
Eriksson, Sirkka-Liisa; Jokela, Jani; Paunonen, Lassi Generalized absolute values, ideals and homomorphisms in mixed lattice groups. (English) Zbl 07382079 Positivity 25, No. 3, 939-972 (2021). MSC: 06F20 06F05 31D05 PDF BibTeX XML Cite \textit{S.-L. Eriksson} et al., Positivity 25, No. 3, 939--972 (2021; Zbl 07382079) Full Text: DOI
Kroupa, Tomáš; Marra, Vincenzo The two-sorted algebraic theory of states, and the universal states of MV-algebras. (English) Zbl 1491.06028 J. Pure Appl. Algebra 225, No. 12, Article ID 106771, 21 p. (2021). MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{T. Kroupa} and \textit{V. Marra}, J. Pure Appl. Algebra 225, No. 12, Article ID 106771, 21 p. (2021; Zbl 1491.06028) Full Text: DOI arXiv
Lafuente-Rodriguez, Ramiro; McGovern, Warren Wm. When \(\mathrm{Min}(G)^{-1}\) has a clopen \(\pi\)-base. (English) Zbl 1499.54143 Math. Bohem. 146, No. 1, 69-89 (2021). MSC: 54H12 54B20 06F15 PDF BibTeX XML Cite \textit{R. Lafuente-Rodriguez} and \textit{W. Wm. McGovern}, Math. Bohem. 146, No. 1, 69--89 (2021; Zbl 1499.54143) Full Text: DOI
Sehnem, Camila F. Fell bundles over quasi-lattice ordered groups and \(C^*\)-algebras of compactly aligned product systems. (English) Zbl 1473.46059 Münster J. Math. 14, No. 1, 223-263 (2021). Reviewer: Dana P. Williams (Hanover) MSC: 46L05 46L55 PDF BibTeX XML Cite \textit{C. F. Sehnem}, Münster J. Math. 14, No. 1, 223--263 (2021; Zbl 1473.46059) Full Text: DOI arXiv
Wynne, Brian Construction of existentially closed abelian lattice-ordered groups using Fraïssé limits. (English) Zbl 1498.03087 Algebra Univers. 82, No. 1, Paper No. 18, 23 p. (2021). MSC: 03C60 03C25 06F20 PDF BibTeX XML Cite \textit{B. Wynne}, Algebra Univers. 82, No. 1, Paper No. 18, 23 p. (2021; Zbl 1498.03087) Full Text: DOI
Bayanova, N. V.; Zenkov, A. V.; Prusakova, G. V. On the theory of represantable varieties of lattice-ordered groups. (Russian. English summary) Zbl 07609277 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2020, No. 65, 22-29 (2020). MSC: 06F15 08B15 PDF BibTeX XML Cite \textit{N. V. Bayanova} et al., Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2020, No. 65, 22--29 (2020; Zbl 07609277) Full Text: DOI MNR
De La Pava, Luz Victoria; Russo, Ciro MV-algebras as sheaves of \(\ell\)-groups on fuzzy topological spaces. (English) Zbl 1490.06008 Soft Comput. 24, No. 12, 8793-8804 (2020). MSC: 06D35 06F20 54A40 PDF BibTeX XML Cite \textit{L. V. De La Pava} and \textit{C. Russo}, Soft Comput. 24, No. 12, 8793--8804 (2020; Zbl 1490.06008) Full Text: DOI arXiv
Gil-Férez, José; Lauridsen, Frederik Möllerström; Metcalfe, George Integrally closed residuated lattices. (English) Zbl 1486.03114 Stud. Log. 108, No. 5, 1063-1086 (2020). MSC: 03G10 06F35 03F03 03F05 06F15 PDF BibTeX XML Cite \textit{J. Gil-Férez} et al., Stud. Log. 108, No. 5, 1063--1086 (2020; Zbl 1486.03114) Full Text: DOI arXiv
Gil-Férez, José; Spada, Luca; Tsinakis, Constantine; Zhou, Hongjun Join-completions of partially ordered algebras. (English) Zbl 1484.06056 Ann. Pure Appl. Logic 171, No. 10, Article ID 102842, 33 p. (2020). MSC: 06F05 06F15 03G10 03B47 08B15 PDF BibTeX XML Cite \textit{J. Gil-Férez} et al., Ann. Pure Appl. Logic 171, No. 10, Article ID 102842, 33 p. (2020; Zbl 1484.06056) Full Text: DOI arXiv
Carrera, Ricardo E.; Hager, Anthony W. A classification of hull operators in Archimedean lattice-ordered groups with unit. (English) Zbl 1446.06025 Categ. Gen. Algebr. Struct. Appl. 13, No. 1, 83-104 (2020). MSC: 06F15 06B25 06F05 54B30 54D30 54D35 PDF BibTeX XML Cite \textit{R. E. Carrera} and \textit{A. W. Hager}, Categ. Gen. Algebr. Struct. Appl. 13, No. 1, 83--104 (2020; Zbl 1446.06025) Full Text: Link
Abbadini, Marco Dedekind \(\sigma \)-complete \(\ell \)-groups and Riesz spaces as varieties. (English) Zbl 1484.06059 Positivity 24, No. 4, 1081-1100 (2020). MSC: 06F20 03C05 08A65 PDF BibTeX XML Cite \textit{M. Abbadini}, Positivity 24, No. 4, 1081--1100 (2020; Zbl 1484.06059) Full Text: DOI arXiv
Ranjbar, Mohammad A.; Pourgholamhossein, Mahmood Filter and weak link topologies. (English) Zbl 1446.54020 Algebra Univers. 81, No. 3, Paper No. 41, 7 p. (2020). MSC: 54H11 06F30 PDF BibTeX XML Cite \textit{M. A. Ranjbar} and \textit{M. Pourgholamhossein}, Algebra Univers. 81, No. 3, Paper No. 41, 7 p. (2020; Zbl 1446.54020) Full Text: DOI
Lenzi, Giacomo; Di Nola, Antonio The spectrum problem for abelian \(\ell\)-groups and MV-algebras. (English) Zbl 1460.06002 Algebra Univers. 81, No. 3, Paper No. 39, 43 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 06D20 06D50 PDF BibTeX XML Cite \textit{G. Lenzi} and \textit{A. Di Nola}, Algebra Univers. 81, No. 3, Paper No. 39, 43 p. (2020; Zbl 1460.06002) Full Text: DOI arXiv
Hager, Anthony W.; Scowcroft, Philip Essential adjunction of a strong unit to an Archimedean lattice-ordered group. (English) Zbl 1481.06041 Algebra Univers. 81, No. 3, Paper No. 37, 17 p. (2020). MSC: 06F20 03E17 46A40 54C40 54D45 54G05 54H10 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{P. Scowcroft}, Algebra Univers. 81, No. 3, Paper No. 37, 17 p. (2020; Zbl 1481.06041) Full Text: DOI
Colacito, Almudena; Marra, Vincenzo Orders on groups, and spectral spaces of lattice-groups. (English) Zbl 1477.06056 Algebra Univers. 81, No. 1, Paper No. 6, 30 p. (2020). MSC: 06F15 06E15 20E10 PDF BibTeX XML Cite \textit{A. Colacito} and \textit{V. Marra}, Algebra Univers. 81, No. 1, Paper No. 6, 30 p. (2020; Zbl 1477.06056) Full Text: DOI arXiv
Ahmed, Mamoon \(C^\ast \)-algebras generated by isometries and true representations. (English) Zbl 1431.46046 Bol. Soc. Parana. Mat. (3) 38, No. 5, 215-232 (2020). MSC: 46L55 22D25 PDF BibTeX XML Cite \textit{M. Ahmed}, Bol. Soc. Parana. Mat. (3) 38, No. 5, 215--232 (2020; Zbl 1431.46046) Full Text: Link
Wehrung, Friedrich Cevian operations on distributive lattices. (English) Zbl 1442.06004 J. Pure Appl. Algebra 224, No. 4, Article ID 106202, 23 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D05 06D35 06F20 03E02 03E05 18C35 PDF BibTeX XML Cite \textit{F. Wehrung}, J. Pure Appl. Algebra 224, No. 4, Article ID 106202, 23 p. (2020; Zbl 1442.06004) Full Text: DOI arXiv
Lenzi, Giacomo On the Riesz structures of a lattice ordered abelian group. (English) Zbl 1483.06023 Math. Slovaca 69, No. 6, 1237-1245 (2019). MSC: 06F20 06D35 PDF BibTeX XML Cite \textit{G. Lenzi}, Math. Slovaca 69, No. 6, 1237--1245 (2019; Zbl 1483.06023) Full Text: DOI
Coquand, Thierry; Lombardi, Henri; Neuwirth, Stefan Lattice-ordered groups generated by an ordered group and regular systems of ideals. (English) Zbl 1496.06018 Rocky Mt. J. Math. 49, No. 5, 1449-1489 (2019). MSC: 06F20 06F05 13A15 13B22 PDF BibTeX XML Cite \textit{T. Coquand} et al., Rocky Mt. J. Math. 49, No. 5, 1449--1489 (2019; Zbl 1496.06018) Full Text: DOI arXiv Euclid
Colacito, Almudena; Metcalfe, George Ordering groups and validity in lattice-ordered groups. (English) Zbl 07094341 J. Pure Appl. Algebra 223, No. 12, 5163-5175 (2019). MSC: 03B25 03C05 06F05 06F15 20E05 PDF BibTeX XML Cite \textit{A. Colacito} and \textit{G. Metcalfe}, J. Pure Appl. Algebra 223, No. 12, 5163--5175 (2019; Zbl 07094341) Full Text: DOI arXiv Link
Wajch, Eliza From pairwise comparisons to consistency with respect to a group operation and Koczkodaj’s metric. (English) Zbl 1468.91042 Int. J. Approx. Reasoning 106, 51-62 (2019). Reviewer: Dominik Strzałka (Rzeszów) MSC: 91B06 06F15 PDF BibTeX XML Cite \textit{E. Wajch}, Int. J. Approx. Reasoning 106, 51--62 (2019; Zbl 1468.91042) Full Text: DOI
Ball, R. N.; Hager, A. W. The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale. (English) Zbl 1473.06005 Positivity 23, No. 1, 89-95 (2019). MSC: 06D22 06F20 18A40 46A40 46E05 54A20 54B35 54C30 PDF BibTeX XML Cite \textit{R. N. Ball} and \textit{A. W. Hager}, Positivity 23, No. 1, 89--95 (2019; Zbl 1473.06005) Full Text: DOI
Scowcroft, Philip Model-completions for abelian lattice-ordered groups with finitely many disjoint elements. (English) Zbl 07049211 Ann. Pure Appl. Logic 170, No. 6, 673-698 (2019); corrigendum ibid. 170, No. 11, Article ID 102720, 1 p. (2019). MSC: 03C60 06F20 PDF BibTeX XML Cite \textit{P. Scowcroft}, Ann. Pure Appl. Logic 170, No. 6, 673--698 (2019; Zbl 07049211) Full Text: DOI
Di Nola, Antonio; Lenzi, Giacomo; Russo, Anna Carla Some invariant skeletons for \(\ell\)-u groups and MV-algebras. (English) Zbl 1441.06010 Order 36, No. 1, 77-97 (2019). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F15 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Order 36, No. 1, 77--97 (2019; Zbl 1441.06010) Full Text: DOI
Wehrung, Friedrich Spectral spaces of countable abelian lattice-ordered groups. (English) Zbl 1472.06024 Trans. Am. Math. Soc. 371, No. 3, 2133-2158 (2019). MSC: 06F20 06D05 06D20 06D35 06D50 46A55 52A05 52C35 PDF BibTeX XML Cite \textit{F. Wehrung}, Trans. Am. Math. Soc. 371, No. 3, 2133--2158 (2019; Zbl 1472.06024) Full Text: DOI arXiv
Bhattacharjee, Papiya; McGovern, Warren W. Lamron \(\ell\)-groups. (English) Zbl 1436.06043 Quaest. Math. 41, No. 1, 81-98 (2018). MSC: 06F15 06F20 54D80 PDF BibTeX XML Cite \textit{P. Bhattacharjee} and \textit{W. W. McGovern}, Quaest. Math. 41, No. 1, 81--98 (2018; Zbl 1436.06043) Full Text: DOI
Wu, Huanrong; Li, Qingguo; Yu, Bin A topology on lattice-ordered groups. (English) Zbl 1438.06051 J. Nonlinear Sci. Appl. 11, No. 5, 701-712 (2018). MSC: 06F15 06B35 54H11 06F30 PDF BibTeX XML Cite \textit{H. Wu} et al., J. Nonlinear Sci. Appl. 11, No. 5, 701--712 (2018; Zbl 1438.06051) Full Text: DOI
Bhattacharjee, Papiya; McGovern, Warren Wm. Maximal \(d\)-subgroups and ultrafilters. (English) Zbl 06992778 Rend. Circ. Mat. Palermo (2) 67, No. 3, 421-440 (2018). MSC: 06F20 20F60 54D80 54G05 PDF BibTeX XML Cite \textit{P. Bhattacharjee} and \textit{W. Wm. McGovern}, Rend. Circ. Mat. Palermo (2) 67, No. 3, 421--440 (2018; Zbl 06992778) Full Text: DOI
Ledda, Antonio; Paoli, Francesco; Tsinakis, Constantine The Archimedean property: new horizons and perspectives. (English) Zbl 06989162 Algebra Univers. 79, No. 4, Paper No. 91, 30 p. (2018). MSC: 06F05 06D35 06F15 03G10 03B47 PDF BibTeX XML Cite \textit{A. Ledda} et al., Algebra Univers. 79, No. 4, Paper No. 91, 30 p. (2018; Zbl 06989162) Full Text: DOI
Mahmood, Tahir; Shah, Naveed Ahmad Lattice ordered fuzzy soft groups. (English) Zbl 1480.06010 Honam Math. J. 40, No. 3, 457-486 (2018). Reviewer: B. O. Onasanya (Ibadan) MSC: 06F15 20N25 PDF BibTeX XML Cite \textit{T. Mahmood} and \textit{N. A. Shah}, Honam Math. J. 40, No. 3, 457--486 (2018; Zbl 1480.06010) Full Text: DOI
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano Algebraic geometry for \(\ell \)-groups. (English) Zbl 1472.06023 Algebra Univers. 79, No. 3, Paper No. 64, 24 p. (2018). MSC: 06F20 03G25 08C05 14A99 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Algebra Univers. 79, No. 3, Paper No. 64, 24 p. (2018; Zbl 1472.06023) Full Text: DOI
Wynne, Brian Construction of existentially closed abelian lattice-ordered groups using upper extensions. (English) Zbl 1403.03057 Algebra Univers. 79, No. 3, Paper No. 51, 27 p. (2018). Reviewer: Daniele Mundici (Firenze) MSC: 03C60 06F20 20F60 PDF BibTeX XML Cite \textit{B. Wynne}, Algebra Univers. 79, No. 3, Paper No. 51, 27 p. (2018; Zbl 1403.03057) Full Text: DOI
Buskes, Gerard; Redfield, R. H. Frolík decompositions for lattice-ordered groups. (English) Zbl 1436.06044 Quaest. Math. 41, No. 3, 371-407 (2018). MSC: 06F15 46A40 06F20 06E30 54C05 47B60 PDF BibTeX XML Cite \textit{G. Buskes} and \textit{R. H. Redfield}, Quaest. Math. 41, No. 3, 371--407 (2018; Zbl 1436.06044) Full Text: DOI
Scowcroft, Philip \(l\)-groups \(C(X)\) in continuous logic. (English) Zbl 1446.03072 Arch. Math. Logic 57, No. 3-4, 239-272 (2018). MSC: 03C60 06F20 03C45 03C90 03C10 PDF BibTeX XML Cite \textit{P. Scowcroft}, Arch. Math. Logic 57, No. 3--4, 239--272 (2018; Zbl 1446.03072) Full Text: DOI
Ball, Richard N.; Marra, Vincenzo; McNeill, Daniel; Pedrini, Andrea From Freudenthal’s spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra. (English) Zbl 06859569 Forum Math. 30, No. 2, 513-526 (2018). MSC: 06F20 54D35 PDF BibTeX XML Cite \textit{R. N. Ball} et al., Forum Math. 30, No. 2, 513--526 (2018; Zbl 06859569) Full Text: DOI arXiv
Kroupa, Tomáš; Marra, Vincenzo Generalised states: a multi-sorted algebraic approach to probability. (English) Zbl 1397.06012 Soft Comput. 21, No. 1, 57-67 (2017). MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{T. Kroupa} and \textit{V. Marra}, Soft Comput. 21, No. 1, 57--67 (2017; Zbl 1397.06012) Full Text: DOI Link
Kala, Vítězslav Lattice-ordered abelian groups finitely generated as semirings. (English) Zbl 1373.06022 J. Commut. Algebra 9, No. 3, 387-412 (2017). MSC: 06F20 16Y60 12K10 06D35 52B20 PDF BibTeX XML Cite \textit{V. Kala}, J. Commut. Algebra 9, No. 3, 387--412 (2017; Zbl 1373.06022) Full Text: DOI arXiv Euclid
Caramello, O.; Russo, A. C. On the geometric theory of local MV-algebras. (English) Zbl 1423.06045 J. Algebra 479, 263-313 (2017). MSC: 06D35 03G30 06B20 06F20 18B25 18C10 PDF BibTeX XML Cite \textit{O. Caramello} and \textit{A. C. Russo}, J. Algebra 479, 263--313 (2017; Zbl 1423.06045) Full Text: DOI arXiv
Hager, Anthony W.; Madden, James J. Comments on monoreflections in unital Archimedean lattice-ordered groups and rings. (English) Zbl 1436.06047 Quaest. Math. 39, No. 8, 1093-1099 (2016). MSC: 06F20 18A40 46A40 54F15 18A20 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{J. J. Madden}, Quaest. Math. 39, No. 8, 1093--1099 (2016; Zbl 1436.06047) Full Text: DOI
Ánh, P. N.; Siddoway, M. F. Gauss’ lemma and valuation theory. (English) Zbl 1423.13014 Quaest. Math. 39, No. 5, 603-609 (2016). MSC: 13A05 13D05 13F05 06F05 PDF BibTeX XML Cite \textit{P. N. Ánh} and \textit{M. F. Siddoway}, Quaest. Math. 39, No. 5, 603--609 (2016; Zbl 1423.13014) Full Text: DOI Link
Caramello, Olivia; Russo, Anna Carla Lattice-ordered abelian groups and perfect MV-algebras: a topos-theoretic perspective. (English) Zbl 1390.06012 Bull. Symb. Log. 22, No. 2, 170-214 (2016). MSC: 06F20 06D35 03G30 18B25 PDF BibTeX XML Cite \textit{O. Caramello} and \textit{A. C. Russo}, Bull. Symb. Log. 22, No. 2, 170--214 (2016; Zbl 1390.06012) Full Text: DOI arXiv
Borzooei, R. A.; Hosseini, F.; Zahiri, O. (Totally) \(L\)-ordered groups. (English) Zbl 1361.06007 J. Intell. Fuzzy Syst. 30, No. 3, 1489-1498 (2016). MSC: 06F15 20N25 PDF BibTeX XML Cite \textit{R. A. Borzooei} et al., J. Intell. Fuzzy Syst. 30, No. 3, 1489--1498 (2016; Zbl 1361.06007) Full Text: DOI
Tikuisis, Aaron Finite-dimensional ordered vector spaces with Riesz interpolation and Effros-Shen’s unimodularity conjecture. (English) Zbl 1380.46003 J. Aust. Math. Soc. 101, No. 2, 277-287 (2016). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 46A40 06B75 06F20 PDF BibTeX XML Cite \textit{A. Tikuisis}, J. Aust. Math. Soc. 101, No. 2, 277--287 (2016; Zbl 1380.46003) Full Text: DOI arXiv
Li, Boyu Regular representations of lattice ordered semigroups. (English) Zbl 1399.43011 J. Oper. Theory 76, No. 1, 33-56 (2016). Reviewer: Martin Blümlinger (Wien) MSC: 43A35 47A20 47D03 PDF BibTeX XML Cite \textit{B. Li}, J. Oper. Theory 76, No. 1, 33--56 (2016; Zbl 1399.43011) Full Text: DOI arXiv
Mundici, Daniele Hopfian \(\ell\)-groups, MV-algebras and AF \({\mathrm{C}^{*}}\)-algebras. (English) Zbl 1429.06013 Forum Math. 28, No. 6, 1111-1130 (2016). MSC: 06D35 06F20 08A35 16T05 19A49 46L05 PDF BibTeX XML Cite \textit{D. Mundici}, Forum Math. 28, No. 6, 1111--1130 (2016; Zbl 1429.06013) Full Text: DOI arXiv
Hager, Anthony W.; Madden, James J. The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit. (English) Zbl 1403.06027 Appl. Categ. Struct. 24, No. 5, 605-617 (2016). MSC: 06F20 18A40 46A40 54F15 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{J. J. Madden}, Appl. Categ. Struct. 24, No. 5, 605--617 (2016; Zbl 1403.06027) Full Text: DOI
Li, Boyu Normal extensions of representations of Abelian semigroups. (English) Zbl 1354.47021 Can. Math. Bull. 59, No. 3, 564-574 (2016). MSC: 47B20 47A20 47D03 PDF BibTeX XML Cite \textit{B. Li}, Can. Math. Bull. 59, No. 3, 564--574 (2016; Zbl 1354.47021) Full Text: DOI arXiv
Jakubík, Ján Convex subalgebras of upper bounded GMV-algebras. (English) Zbl 1374.06023 Math. Slovaca 66, No. 2, 379-386 (2016). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06D35 06F15 PDF BibTeX XML Cite \textit{J. Jakubík}, Math. Slovaca 66, No. 2, 379--386 (2016; Zbl 1374.06023) Full Text: DOI
Di Nola, A.; Ferraioli, A. R.; Gerla, B. Combining Boolean algebras and \(\ell \)-groups in the variety generated by Chang’s MV-algebra. (English) Zbl 1374.06020 Math. Slovaca 66, No. 2, 387-400 (2016). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Math. Slovaca 66, No. 2, 387--400 (2016; Zbl 1374.06020) Full Text: DOI
Ánh, Phạm Ngọc Generalization of a theorem of Clifford. (English) Zbl 1368.06008 Acta Math. Vietnam. 41, No. 3, 471-480 (2016). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 06F05 06F20 13A05 13F05 PDF BibTeX XML Cite \textit{P. N. Ánh}, Acta Math. Vietnam. 41, No. 3, 471--480 (2016; Zbl 1368.06008) Full Text: DOI Link
Scowcroft, Philip Algebraically closed and existentially closed abelian lattice-ordered groups. (English) Zbl 1351.03023 Algebra Univers. 75, No. 3, 257-300 (2016). MSC: 03C60 06F20 03C25 PDF BibTeX XML Cite \textit{P. Scowcroft}, Algebra Univers. 75, No. 3, 257--300 (2016; Zbl 1351.03023) Full Text: DOI
Jakubík, Ján Lexico groups and direct products of lattice ordered groups. (English) Zbl 1389.06041 Math. Slovaca 66, No. 1, 35-42 (2016). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06F15 PDF BibTeX XML Cite \textit{J. Jakubík}, Math. Slovaca 66, No. 1, 35--42 (2016; Zbl 1389.06041) Full Text: DOI
Galatos, Nikolaos; Metcalfe, George Proof theory for lattice-ordered groups. (English) Zbl 1348.06011 Ann. Pure Appl. Logic 167, No. 8, 707-724 (2016). Reviewer: Michiro Kondo (Inzai) MSC: 06F15 06F20 03F05 08A50 08B05 PDF BibTeX XML Cite \textit{N. Galatos} and \textit{G. Metcalfe}, Ann. Pure Appl. Logic 167, No. 8, 707--724 (2016; Zbl 1348.06011) Full Text: DOI
Castiglioni, José Luis; San Martín, Hernán Javier The left adjoint of Spec from a category of lattice-ordered groups. (English) Zbl 1436.06046 J. Appl. Log. 15, 1-15 (2016). MSC: 06F20 06D35 PDF BibTeX XML Cite \textit{J. L. Castiglioni} and \textit{H. J. San Martín}, J. Appl. Log. 15, 1--15 (2016; Zbl 1436.06046) Full Text: DOI
Carrera, Ricardo E.; Hager, Anthony W. Bounded equivalence of hull classes in Archimedean lattice-ordered groups with unit. (English) Zbl 1342.06013 Appl. Categ. Struct. 24, No. 2, 163-179 (2016). Reviewer: Wolfgang Rump (Stuttgart) MSC: 06F20 06B23 54B30 PDF BibTeX XML Cite \textit{R. E. Carrera} and \textit{A. W. Hager}, Appl. Categ. Struct. 24, No. 2, 163--179 (2016; Zbl 1342.06013) Full Text: DOI
Darnel, M. R.; Holland, W. C.; Pajoohesh, H. Generalized commutativity of lattice-ordered groups. II. (English) Zbl 1334.06031 Algebra Univers. 75, No. 1, 51-59 (2016). MSC: 06F15 20F60 PDF BibTeX XML Cite \textit{M. R. Darnel} et al., Algebra Univers. 75, No. 1, 51--59 (2016; Zbl 1334.06031) Full Text: DOI
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O. \(L\)-ordered and \( L\)-lattice ordered groups. (English) Zbl 1387.06005 Inf. Sci. 314, 118-134 (2015). MSC: 06A75 06D20 06F15 PDF BibTeX XML Cite \textit{R. A. Borzooei} et al., Inf. Sci. 314, 118--134 (2015; Zbl 1387.06005) Full Text: DOI arXiv
Iorgulescu, Afrodita New algebras and new connections between/in the algebras of logic and the monoidal algebras. (English) Zbl 1370.06009 Lib. Math. (N.S.) 35, No. 1, 13-55 (2015). MSC: 06F35 06F15 06D35 03G25 PDF BibTeX XML Cite \textit{A. Iorgulescu}, Lib. Math. (N.S.) 35, No. 1, 13--55 (2015; Zbl 1370.06009)
Zenkov, A. V. On congruences of \(m\)-groups. II. (English. Russian original) Zbl 1343.06012 Sib. Math. J. 56, No. 5, 841-843 (2015); translation from Sib. Mat. Zh. 56, No. 5, 1054-1056 (2015). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F15 PDF BibTeX XML Cite \textit{A. V. Zenkov}, Sib. Math. J. 56, No. 5, 841--843 (2015; Zbl 1343.06012); translation from Sib. Mat. Zh. 56, No. 5, 1054--1056 (2015) Full Text: DOI
Marra, Vincenzo The Chinese remainder theorem for strongly semisimple MV-algebras and lattice-groups. (English) Zbl 1363.06028 Math. Slovaca 65, No. 4, 829-840 (2015). Reviewer: YiChaun Yang (Beijing) MSC: 06F20 06D35 PDF BibTeX XML Cite \textit{V. Marra}, Math. Slovaca 65, No. 4, 829--840 (2015; Zbl 1363.06028) Full Text: DOI arXiv
Gil-Férez, José; Ledda, Antonio; Tsinakis, Constantine The failure of the amalgamation property for semilinear varieties of residuated lattices. (English) Zbl 1363.06002 Math. Slovaca 65, No. 4, 817-828 (2015). MSC: 06B20 03G10 08B25 PDF BibTeX XML Cite \textit{J. Gil-Férez} et al., Math. Slovaca 65, No. 4, 817--828 (2015; Zbl 1363.06002) Full Text: DOI
Carrera, Ricardo E.; Hager, Anthony W. \(B\)-saturated hull classes in \(\ell\)-groups and covering classes of spaces. (English) Zbl 1343.06013 Appl. Categ. Struct. 23, No. 5, 709-723 (2015). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 54B30 18G05 54G05 PDF BibTeX XML Cite \textit{R. E. Carrera} and \textit{A. W. Hager}, Appl. Categ. Struct. 23, No. 5, 709--723 (2015; Zbl 1343.06013) Full Text: DOI
Fechner, Włodzimierz A note on a result of I. Gusić on two inequalities in lattice-ordered groups. (English) Zbl 1386.39047 Math. Inequal. Appl. 18, No. 3, 887-892 (2015). MSC: 39B62 06F15 20F60 26D15 46E30 PDF BibTeX XML Cite \textit{W. Fechner}, Math. Inequal. Appl. 18, No. 3, 887--892 (2015; Zbl 1386.39047) Full Text: DOI
Cabrer, Leonardo Manuel; Mundici, Daniele A Stone-Weierstrass theorem for MV-algebras and unital \(\ell\)-groups. (English) Zbl 1323.06011 J. Log. Comput. 25, No. 3, 683-699 (2015). Reviewer: Giacomo Lenzi (Fisciano) MSC: 06D35 06B25 06F20 03G25 PDF BibTeX XML Cite \textit{L. M. Cabrer} and \textit{D. Mundici}, J. Log. Comput. 25, No. 3, 683--699 (2015; Zbl 1323.06011) Full Text: DOI arXiv
Montagna, Franco; Ugolini, Sara A categorical equivalence for product algebras. (English) Zbl 1373.03131 Stud. Log. 103, No. 2, 345-373 (2015). MSC: 03G25 03B50 03G05 06D35 06F15 18A15 PDF BibTeX XML Cite \textit{F. Montagna} and \textit{S. Ugolini}, Stud. Log. 103, No. 2, 345--373 (2015; Zbl 1373.03131) Full Text: DOI
Pajoohesh, Homeira The relationship of partial metric varieties and commuting powers varieties. II. (English) Zbl 1316.06019 Algebra Univers. 73, No. 3-4, 291-295 (2015). MSC: 06F15 08B15 20F60 PDF BibTeX XML Cite \textit{H. Pajoohesh}, Algebra Univers. 73, No. 3--4, 291--295 (2015; Zbl 1316.06019) Full Text: DOI
Ball, Richard N.; Hager, Anthony W.; Walters-Wayland, Joanne Pointfree pointwise suprema in unital Archimedean \(\ell\)-groups. (English) Zbl 1344.06010 J. Pure Appl. Algebra 219, No. 11, 4793-4815 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06D22 06F20 54C30 PDF BibTeX XML Cite \textit{R. N. Ball} et al., J. Pure Appl. Algebra 219, No. 11, 4793--4815 (2015; Zbl 1344.06010) Full Text: DOI arXiv
Hager, Anthony W. The relatively uniform completion, epimorphisms and units, in divisible Archimedean \(l\)-groups. (English) Zbl 1349.06048 Math. Slovaca 65, No. 2, 343-358 (2015). MSC: 06F20 18A40 54C40 PDF BibTeX XML Cite \textit{A. W. Hager}, Math. Slovaca 65, No. 2, 343--358 (2015; Zbl 1349.06048) Full Text: DOI
Darnel, M. R.; Holland, W. C.; Pajoohesh, H. Generalized commutativity of lattice-ordered groups. (English) Zbl 1349.06045 Math. Slovaca 65, No. 2, 325-342 (2015). MSC: 06F15 20F60 PDF BibTeX XML Cite \textit{M. R. Darnel} et al., Math. Slovaca 65, No. 2, 325--342 (2015; Zbl 1349.06045) Full Text: DOI
Cabrer, Leonardo Manuel Simplicial geometry of unital lattice-ordered abelian groups. (English) Zbl 1330.06013 Forum Math. 27, No. 3, 1309-1344 (2015). Reviewer: Giacomo Lenzi (Fisciano) MSC: 06F20 52B20 18B30 05E45 52B11 18A35 55U05 55U10 57Q05 PDF BibTeX XML Cite \textit{L. M. Cabrer}, Forum Math. 27, No. 3, 1309--1344 (2015; Zbl 1330.06013) Full Text: DOI arXiv
Bruno, J. Pathological and highly transitive representations of free groups. (English) Zbl 1342.06012 Order 32, No. 1, 135-144 (2015). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F15 20E05 03E75 06A05 20B27 PDF BibTeX XML Cite \textit{J. Bruno}, Order 32, No. 1, 135--144 (2015; Zbl 1342.06012) Full Text: DOI
Hager, Anthony W. Some unusual epicomplete Archimedean lattice-ordered groups. (English) Zbl 1315.06020 Proc. Am. Math. Soc. 143, No. 5, 1969-1980 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 03E50 06B15 08A99 18A20 46A40 54C30 54C40 54G05 PDF BibTeX XML Cite \textit{A. W. Hager}, Proc. Am. Math. Soc. 143, No. 5, 1969--1980 (2015; Zbl 1315.06020) Full Text: DOI
Cabrer, Leonardo Manuel; Mundici, Daniele Severi-Bouligand tangents, Frenet frames and Riesz spaces. (English) Zbl 1322.46005 Adv. Appl. Math. 64, 1-20 (2015). Reviewer: Karim Boulabiar (Tunis) MSC: 46A40 06F20 46E05 PDF BibTeX XML Cite \textit{L. M. Cabrer} and \textit{D. Mundici}, Adv. Appl. Math. 64, 1--20 (2015; Zbl 1322.46005) Full Text: DOI arXiv
Caramello, O.; Russo, A. C. The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit. (English) Zbl 1320.06011 J. Algebra 422, 752-787 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 18B25 18C10 18F20 06F20 03G30 PDF BibTeX XML Cite \textit{O. Caramello} and \textit{A. C. Russo}, J. Algebra 422, 752--787 (2015; Zbl 1320.06011) Full Text: DOI arXiv
Young, William Varieties generated by unital abelian \(\ell\)-groups. (English) Zbl 1300.06003 J. Pure Appl. Algebra 219, No. 1, 161-169 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 06D35 08B15 PDF BibTeX XML Cite \textit{W. Young}, J. Pure Appl. Algebra 219, No. 1, 161--169 (2015; Zbl 1300.06003) Full Text: DOI
Barbieri, Giuseppina The extension of measures on D-lattices. (English) Zbl 1315.28008 Fuzzy Sets Syst. 244, 123-129 (2014). MSC: 28B15 06F15 PDF BibTeX XML Cite \textit{G. Barbieri}, Fuzzy Sets Syst. 244, 123--129 (2014; Zbl 1315.28008) Full Text: DOI
Šešelja, Branimir; Tepavčević, Andreja; Udovičić, Mirna Fuzzy ordered structures and fuzzy lattice ordered groups. (English) Zbl 1305.06006 J. Intell. Fuzzy Syst. 27, No. 3, 1119-1127 (2014). MSC: 06D72 06F15 20N25 PDF BibTeX XML Cite \textit{B. Šešelja} et al., J. Intell. Fuzzy Syst. 27, No. 3, 1119--1127 (2014; Zbl 1305.06006) Full Text: DOI
Ball, Richard N. Truncated abelian lattice-ordered groups. II: The pointfree (Madden) representation. (English) Zbl 1301.06040 Topology Appl. 178, 56-86 (2014). MSC: 06F20 06D22 54B30 PDF BibTeX XML Cite \textit{R. N. Ball}, Topology Appl. 178, 56--86 (2014; Zbl 1301.06040) Full Text: DOI arXiv
Gehrke, Mai; van Gool, Samuel J.; Marra, Vincenzo Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality. (English) Zbl 1300.06001 J. Algebra 417, 290-332 (2014). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 06D50 18F20 54B40 PDF BibTeX XML Cite \textit{M. Gehrke} et al., J. Algebra 417, 290--332 (2014; Zbl 1300.06001) Full Text: DOI arXiv